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Simplifying 6x + -4(1 + -3x) = 5(x + 13) + 13x 6x + (1 * -4 + -3x * -4) = 5(x + 13) + 13x 6x + (-4 + 12x) = 5(x + 13) + 13x Reorder the terms: -4 + 6x + 12x = 5(x + 13) + 13x Combine like terms: 6x + 12x = 18x -4 + 18x = 5(x + 13) + 13x Reorder the terms: -4 + 18x = 5(13 + x) + 13x -4 + 18x = (13 * 5 + x * 5) + 13x -4 + 18x = (65 + 5x) + 13x Combine like terms: 5x + 13x = 18x -4 + 18x = 65 + 18x Add '-18x' to each side of the equation. -4 + 18x + -18x = 65 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 + 0 = 65 + 18x + -18x -4 = 65 + 18x + -18x Combine like terms: 18x + -18x = 0 -4 = 65 + 0 -4 = 65 Solving -4 = 65 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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